Convex And Concave Lens Homework Help

1.A convex lens is placed on a plane glass surface and illuminated with sodium light of wavelength 589.3 nm. The diameter of the tenth dark ring is found to be 4.06 nm.a) what is the radius of curvature of the lower face of the lens?b) Using another light source, the diameter of the twelfth dark ring was found to be 47.4 mm. Calculate the wavelength of the new light source.

2.A plan o-concave lens having index of refraction 1.50 is placed on a flat glass plate. Its curved surface, with radius of curvature 8.00 m, is on the bottom. The lens is illuminated from above with yellow sodium light of wavelength 589 nm, and a series of concentric bright and dark rings is observed by reflection. The interference pattern has a dark spot at the center, surrounded by 50 dark rings, of which the largest is at the outer edge of the lens. (a) What is the thickness of the air layer at the center of the interference pattern?
(b) Calculate the radius of the outermost dark ring. (c) Find the focal length of the lens.

3.A convex lens of diameter 8.0 cm is used to focus a parallel beam of light of wavelength 620 nm. If the light be focused at a distance of 20 cm from the lens, what would be the radius of the central bright spot formed?

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4.A narrow slit is placed in front of a convex lens of focal length 25cm and is illuminated normally with a parallel beam of light of wavelength 600nm. the first diffraction minima on either side of the central maximum are separated by 6*10^-3 m. Find the width of slit in nm.

5.A lens produces a virtual image located 33.8 cm from the lens when the object is located 18.5 cm from the lens. Determine the focal length of the lens. What kind of lens is it? Please draw a ray diagram to verify it. Please describe the image properties.